non-engagement vs non-involvement

non-engagement and non-involvement both are nouns.

Word	Noun	Adjective	Verb	Adverb
non-engagement	Yes	No	No	No
non-involvement	Yes	No	No	No

As nouns, non-engagement and non-involvement are synonyms defined as:

non-engagement and non-involvement: withdrawing from the activities of a group

Other synonyms of non-engagement include nonparticipation.

non-engagement (noun)	non-involvement (noun)
withdrawing from the activities of a group	withdrawing from the activities of a group